Learners create and analyze slope fields. In this calculus lesson, students create a visual of differential equations. They use the Ti Navigator to create slope fields.

High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...

Students define ellipses and their properties. In this calculus lesson, students analyze ellipses for their shape, center, major and minor axes. They create a paper ellipse to have a visual of what an ellipse really looks like in 3D.

Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.

Does the value exist? The interactive allows pupils to visualize the Intermediate Value Theorem. Using the visualization, individuals respond to questions using specific values and general values. The class comes to the conclusion what...

Close your eyes and visualize a definite integral. An interactive provides a visualization of a function and definite integral on a closed interval. Pupils move one point of the interval in either the positive or negative direction....

Speed up your pupils' understanding of derivatives. Two cars travel in perpendicular distances to each other. With the aid of the interactive, learners visualize the situation. Pupils use the derivative to calculate the instantaneous...

Learners identify Euler's method of graphing in this calculus lesson. They approximate values of a function and check their work using EM. They also differentiate equations at an exact point.

Students perform operation with secant and tangent lines. In this calculus lesson, students find the derivative and relate it to the slope of a line. They differentiate between secant and tangent as they intersect a circle, using Cabri.

Students solve problems using implicit differentiation. In this calculus instructional activity, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two...

Students solve problems of area using the trapezoid and midpoint rule. For this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.

Students calculate the solution using half angles formulas. In this calculus lesson, students identify the different properties of a triangle using trigonometric properties. They identify the mean, altitude and angles of a triangle.

Students study the law of sine and cosine. In this pre-calculus lesson, students create a triangle and identify the different ratios of a non-right triangle. They use the properties of sine and cosine to solve.

Check out the handout from a presentation that contains a collection of high school algebra projects connecting a variety of mathematics to the real world. Activities range from simple probabilities to calculus. The activities...

For this multivariable functions worksheet, students graph functions and describe the level sets of the function. This two page worksheet contains approximately ten problems.

Does the point continually move along the graph? Pupils drag a line across two functions to determine whether they are continuous or not. They answer questions about the properties of continuous and discontinuous functions. Using their...

The more rectangles, the better the estimate. Using the interactive, pupils explore estimating the area under a curve using left-hand sums. Learners respond to challenge questions on how to get better estimates using the same technique.

How long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...

Sum up the shortcuts. The interactive allows pupils to discover a shortcut in finding a partial sum of an arithmetic series. Learners use the shortcut to find other sums and to verify the process.

Fight against the current. Pupils explore the resulting path when they are crossing a river while being pushed downstream by the current. Using vector notation, learners express the speed and direction of a ferry. They finish by...

Students examine diagrams to determine the exact area under a curve. Using given formulas, they identify the area of the curve using the x and y-axis, as well as rectangles. As a class, students sing a song called "Failing My Calculus"...

For this Pre-calculus/Trigonometry worksheet, students solve trigonometry problems in two and three dimensions. The eleven page worksheet contains explanation, examples, and twenty problems. Answers are not included.

In this Pre-calculus worksheet, learners solve problems involving hyperbolas. The two page worksheet contains explanation and four multi-part questions. Answers are not included.    

High schoolers compare and contrast exponential and power functions. In this precalculus lesson, students identify the value of x, using the graph as a visual. They compare functions with base of greater than one, to base of less than one.